Using the graph, determine the coordinates of the vertex of the parabola

The vertex is (3,1)

Step-by-step explanation:

(3, 1)

Step-by-step explanation:

Locate the vertex.  Here it represents the maximum value of this quadratic function.  The x-coordinate shown is 3 and the y-coordinate is 1.  Thus, the vertex is (3, 1).

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).